TY - GEN A1 - Reis, Timo A1 - Virnik, Elena T1 - Positivity preserving balanced truncation N2 - We propose a model reduction method for positive systems that ensures the positivity of the reduced model. For both, continuous-time and discrete-time systems, our approach is based on constructing diagonal solutions of Lyapunov inequalities. These are linear matrix inequalities (LMIs), which are shown to be feasible. Stability is preserved and an error bound in the $\mathcal{H}_\infty$-norm is provided. KW - Positive systems KW - structured model reduction KW - linear matrix inequalities (LMI) KW - balanced truncation KW - singular perturbation balanced truncation KW - continuous-time systems KW - discrete-time systems KW - error bound Y1 - 2007 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/426 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-4269 ER -